Let's use the variable A to represent Alano's height, L to represent Lupe's height, O to represent Olivia's height and N to represent Nelia's height.
So using the information given, we can write the following equations:
[tex]\begin{gathered} A=1.5\cdot L \\ A=O+6 \\ N=56 \\ N=O+2 \end{gathered}[/tex]Now, in order to find Lupe's height, let's first find Olivia's height, then Alano's height, and finally Lupe's height:
[tex]\begin{gathered} N=O+2 \\ 56=O+2 \\ O=56-2 \\ O=54 \\ \\ A=O+6 \\ A=54+6 \\ A=60 \\ \\ A=1.5\cdot L \\ 60=1.5\cdot L \\ L=\frac{60}{1.5} \\ L=40 \end{gathered}[/tex]So Lupe's height is 40 inches, therefore the correct option is A.
